Evaluate the determinant using the most computationally efficient method. 0 0-1 0 (a) (6 points) 2 0 (b) (6 points) (c) (6 points) 2 -3 1 -6 -1 2 0 4 0 0 0 -3 0 0 012 11 8 10 2 1 2 1 3 (d) (6 points) 0 25 1 4 42 2 20 -1 -1 2 2 3 (e) (2 points) Is the matrix in part (a) singular or nonsingular? (f) (2 points) Is the matrix in part (b) invertible or noninvertible?